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Lecture_4-1_July_2010 - EE 131A Probability Professor Kung...

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UCLA EE131A (KY) 1 EE 131A Probability Professor Kung Yao Electrical Engineering Department University of California, Los Angeles M.S. On-Line Engineering Program Lecture 4-1
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UCLA EE131A (KY) 2 Discrete sample space (1) Suppose the sample space S = {a 1 , …, a n } is finite. Then each outcome in the sample space is called an elementary event . All elementary events are mutually exclusive (disjoint). Ex. 1. Let B be an event of S with B = {a 1 , a 4 , a 5 }, then P( B ) = P(a 1 ) + P(a 4 ) + P(a 5 ) . In general, let . (In Ex. 1. k 1 = 1, k 2 = 4, and k 3 = 5.) Thus, 1 2 m k k k a ,a ,…,a B i m k i=1 P( ) = P(a ) . B
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